36814848000 has 576 divisors, whose sum is σ = 141330728448. Its totient is φ = 8336179200.

The previous prime is 36814847977. The next prime is 36814848023. The reversal of 36814848000 is 84841863.

It is an interprime number because it is at equal distance from previous prime (36814847977) and next prime (36814848023).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344063947 + ... + 344064053.

It is an arithmetic number, because the mean of its divisors is an integer number (245365848).

Almost surely, 2^36814848000 is an apocalyptic number.

36814848000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36814848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70665364224).

36814848000 is an abundant number, since it is smaller than the sum of its proper divisors (104515880448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36814848000 is an frugal number, since it uses more digits than its factorization.

36814848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 36814848000 in words is "thirty-six billion, eight hundred fourteen million, eight hundred forty-eight thousand".